A BEM solution to dynamic analysis of plates with variable thickness

Katsikadelis, JT; Sapountzakis, EJ

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Sapountzakis, EJ	en
dc.date.accessioned	2014-03-01T01:08:12Z
dc.date.available	2014-03-01T01:08:12Z
dc.date.issued	1991	en
dc.identifier.issn	01787675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10330
dc.subject	Boundary Condition	en
dc.subject	Boundary Element Method	en
dc.subject	Discrete System	en
dc.subject	Dynamic Analysis	en
dc.subject	Equation of Motion	en
dc.subject	Fundamental Solution	en
dc.subject	Integral Representation	en
dc.subject	Ordinary Differential Equation	en
dc.subject	Multi Degree of Freedom	en
dc.title	A BEM solution to dynamic analysis of plates with variable thickness	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00350166	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00350166	en
heal.publicationDate	1991	en
heal.abstract	A boundary element method is developed for the dynamic analysis of plates with variable thickness. The plate may have arbitrary shape and its boundary may be subjected to any type of boundary conditions. The non-uniform thickness of the plate is an arbitrary function of the coordinates x, y. Both free and forced vibrations are considered. The method utilizes the fundamental solution of the static problem of the plate with constant thickness to establish the integral representation for the deflection and, subsequently, by employing an efficient Gauss integration technique for domain integrals the equation of motion is derived as a discrete system of simultaneous ordinary differential equations with respect to the deflections at the Gauss integration nodal points. The equation of motion can be solved using the known techniques for multi-degrees of freedom systems. Numerical results are presented to illustrate the method and to demonstrate its efficiency and accuracy. © 1991 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/BF00350166	en
dc.identifier.volume	7	en
dc.identifier.issue	5-6	en
dc.identifier.spage	369	en
dc.identifier.epage	379	en